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385501681 is a prime number
BaseRepresentation
bin10110111110100…
…100100111110001
3222212101111220001
4112332210213301
51242142023211
6102130350001
712360465415
oct2676444761
9885344801
10385501681
11188673134
12a912b301
1361b36406
14392acd45
1523c9cac1
hex16fa49f1

385501681 has 2 divisors, whose sum is σ = 385501682. Its totient is φ = 385501680.

The previous prime is 385501667. The next prime is 385501703. The reversal of 385501681 is 186105583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259725456 + 125776225 = 16116^2 + 11215^2 .

It is a cyclic number.

It is not a de Polignac number, because 385501681 - 29 = 385501169 is a prime.

It is a super-2 number, since 2×3855016812 = 297223092107651522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 385501681.

It is not a weakly prime, because it can be changed into another prime (385501651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192750840 + 192750841.

It is an arithmetic number, because the mean of its divisors is an integer number (192750841).

Almost surely, 2385501681 is an apocalyptic number.

It is an amenable number.

385501681 is a deficient number, since it is larger than the sum of its proper divisors (1).

385501681 is an equidigital number, since it uses as much as digits as its factorization.

385501681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 385501681 is about 19634.1967240832. The cubic root of 385501681 is about 727.7944823252.

The spelling of 385501681 in words is "three hundred eighty-five million, five hundred one thousand, six hundred eighty-one".